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Finding the Fourth Proportional to 7,706.76, 11,560.32 and 2,512.68

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Solution

The fourth proportional to 7,706.76, 11,560.32 and 2,512.68 is: 3,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 11,560.32 = 2,512.68 : x
  2. Step 2: Convert to fraction form
    7,706.76/11,560.32 = 2,512.68/x
  3. Step 3: Cross multiply
    7,706.76x = 11,560.32 × 2,512.68
  4. Step 4: Simplify right side
    7,706.76x = 29,047,384.86
  5. Step 5: Solve for x
    x = 29,047,384.86/7,706.76
  6. Step 6: Final answer
    x = 3,769.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.